Least Common Multiple of 3422 and 3429

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Free LCM Calculator determines the least common multiple (LCM) between 3422 and 3429 the smallest integer that is 11734038 that is divisible by both numbers.

Least Common Multiple (LCM) of 3422 and 3429 is 11734038.

LCM(3422,3429) = 11734038

LCM of 3422 and 3429

Least common multiple or lowest common denominator (LCD) can be calculated in three ways;

LCM of:
and

Least Common Multiple of 3422 and 3429

LCM of 3422 and 3429 is 11734038

Least common multiple can be found by multiplying the highest exponent prime factors of 3422 and 3429. First we will calculate the prime factors of 3422 and 3429.

Prime Factorization of 3422


2 3422
29 1711
59 59
1

Prime factors of 3422 are 2, 29,59. Prime factorization of 3422 in exponential form is:

3422 = 21×291×591

Prime Factorization of 3429


3 3429
3 1143
3 381
127 127
1

Prime factors of 3429 are 3,127. Prime factorization of 3429 in exponential form is:

3429 = 33×1271

Now multiplying the highest exponent prime factors to calculate the LCM of 3422 and 3429.

LCM(3422,3429) = 21×33×291×591×1271
LCM(3422,3429) = 11734038

Factors of 3422

List of positive integer factors of 3422 that divides 3422 without a remainder.

1, 2, 29, 58, 59, 118, 1711, 3422

Factors of 3429

List of positive integer factors of 3429 that divides 3429 without a remainder.

1, 3, 9, 27, 127, 381, 1143, 3429

Least Common Multiple of 3422 and 3429 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 3422 and 3429, than apply into the LCM equation.

GCF(3422,3429) = 1
LCM(3422,3429) = ( 3422 × 3429) / 1
LCM(3422,3429) = 11734038 / 1
LCM(3422,3429) = 11734038

Properties of LCM 3422 and 3429

(i) The LCM of 3429 and 3422 is associative

LCM of 3422 and 3429 = LCM of 3429 and 3422

Related Least Common Multiples of 3422

Related Least Common Multiples of 3429

Frequently Asked Questions on LCM of 3422 and 3429

1. What is the LCM of 3422 and 3429?

Answer: LCM of 3422 and 3429 is 11734038.

2. What are the Factors of 3422?

Answer: Factors of 3422 are 1, 2, 29, 58, 59, 118, 1711, 3422. There are 8 integers that are factors of 3422. The greatest factor of 3422 is 3422.

3. What are the Factors of 3429?

Answer: Factors of 3429 are 1, 3, 9, 27, 127, 381, 1143, 3429. There are 8 integers that are factors of 3429. The greatest factor of 3429 is 3429.

4. How to Find the LCM of 3422 and 3429?

Answer:

Least Common Multiple of 3422 and 3429 = 11734038

Step 1: Find the prime factorization of 3422

3422 = 2 x 29 x 59

Step 2: Find the prime factorization of 3429

3429 = 3 x 3 x 3 x 127

Step 3: Multiply each factor the greater number of times it occurs in steps i) or ii) above to find the lcm:

LCM = 11734038 = 2 x 3 x 3 x 3 x 29 x 59 x 127

Step 4: Therefore, the least common multiple of 3422 and 3429 is 11734038.